Least Common Multiple of 747/298, 2107/3770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 747/298, 2107/3770 quickly i.e. 1573929/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 747/298, 2107/3770 is 1573929/2.

LCM(747/298, 2107/3770) = 1573929/2

LCM of 747/298, 2107/3770

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 747/298,2107/3770

Given numbers are 747/298,2107/3770

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 747,2107

Least Common Multiple of Numerators i.e. LCM of 747,2107 is 1573929.

GCF of Denominators means GCF of 298,3770 as per the given fractions.

GCF of 298,3770 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 747,2107

LCM of Fractions 747/298,2107/3770 is 1573929/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1573929

Least Common Multiple of 747,2107 with GCF Formula

Least Common Multiple of 747,2107 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 747,2107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,2107) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(747,2107) x common factors =1 x 1 = 1

LCM(747,2107) = ( 747 × 2107 ) / 1

LCM(747,2107) = 1573929 / 1

LCM(747,2107) = 1573929


Lets's calculate GCF of 298,3770

2 298, 3770
149, 1885

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1573929/2

Therefore the LCM of Fractions 747/298,2107/3770 is 1573929/2

Greatest Common Factor of 298,3770 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,3770 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 3770

List of positive integer factors of 3770 that divides 3770 without a remainder.

1,2,5,10,13,26,29,58,65,130,145,290,377,754,1885,3770

Greatest Common Factor

We found the factors 298,3770 . The biggest common factor number is the GCF number.
So the greatest common factor 298,3770 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 747/298, 2107/3770

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 747/298, 2107/3770?

Answer: LCM of Numerators as per given numbers 747/298, 2107/3770 is

LCM of Numerators i.e. for 747,2107 is 1573929

GCF of denominators i.e. for 298,3770 is 2.

Thus, LCM of Fractions is 1573929/2.Finally, LCM of Fractions for 747/298, 2107/3770 is 1573929/2.